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Fractal and multifractal analysis: A review

Medical Image Analysis, 2009
Over the last years, fractal and multifractal geometries were applied extensively in many medical signal (1D, 2D or 3D) analysis applications like pattern recognition, texture analysis and segmentation. Application of this geometry relies heavily on the estimation of the fractal features.
Nacim Betrouni
exaly   +3 more sources

3D multifractal characterization of computed tomography images of soils under different tillage management: Linking multifractal parameters to physical properties

open access: yesGeoderma, 2020
Multifractal analysis of pore images obtained from X-ray computed tomography (CT) was used to characterize the scaling properties of macropores in soils with different managements and their correspondence with macroscopic physical properties related with
Diego Soto-Gómez   +2 more
exaly   +2 more sources

Multifractal analysis of earthquakes

pure and applied geophysics, 1992
Multifractal properties of the epicenter and hypocenter distribution and also of the energy distribution of earthquakes are studied for California, Japan, and Greece. The calculated D q −q curves (the generalized dimension) indicate that the earthquake process is multifractal or heterogeneous in the fractal dimension.
Tadashi Hirabayashi   +2 more
openaire   +1 more source

Multifractals, texture, and image analysis

Proceedings 1992 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003
Image analysis using texture and multifractal paradigms is addressed. Multifractal theory and its application to image description are discussed, and it is shown that this approach allows the discrete signal to be worked on directly. A system for texture classification that is based on a learning scheme and does not make use of any a priori model is ...
Lévy Véhel, Jacques   +2 more
openaire   +3 more sources

Nonsimultaneous hierarchy: Multifractal analysis

Physical Review A, 1990
We define a simple hierarchical model in two dimensions incorporating two independent and nonsimultaneous rescaling procedures in orthogonal directions. The multifractal framework and corresponding thermodynamic formalism necessary for analyzing models of this type are set up using the concept of partial dimensions, and the model is then analyzed.
, Amritkar, , Gupte
openaire   +2 more sources

Bootstrap for Empirical Multifractal Analysis

IEEE Signal Processing Magazine, 2007
Multifractal analysis is becoming a standard statistical analysis technique. In signal processing, it mostly consists of estimating scaling exponents characterizing scale invariance properties. For practical purposes, confidence intervals in estimation and p values in hypothesis testing are of primary importance. In empirical multifractal analysis, the
Herwig Wendt   +2 more
openaire   +1 more source

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